On substitution tilings of the plane with n-fold rotational symmetry

被引：0
|
作者：
Maloney, Gregory R. [1 ]
机构：
[1] Newcastle Univ, Newcastle Upon Tyne NE1 7RU, Tyne & Wear, England
来源：
DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE | 2015年 / 17卷 / 01期
关键词：
Rhombs; Tiling; Algorithm; PATTERNS; ORDER;
D O I：
暂无
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
A method is described for constructing, with computer assistance, planar substitution tilings that have n-fold rotational symmetry. This method uses as prototiles the set of rhombs with angles that are integer multiples of pi/n, and includes various special cases that have already been constructed by hand for low values of n. An example constructed by this method for n = 11 is exhibited; this is the first substitution tiling with elevenfold symmetry appearing in the literature.
引用
收藏
页码：397 / 414
页数：18
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